Truncated Solutions of the Fifth Painlevé Equation
نویسندگان
چکیده
منابع مشابه
Pure imaginary solutions of the second Painlevé equation
without moveable singularities except poles. Here F is rational in y ′ and y with coefficients locally analytic in z. Among fifty different types of equations of the form (1.1), there are six distinguished Painlevé equations (PI–PVI) which are not reducible to linear equations, Riccati equations, or equations whose solutions are elliptic functions. The detailed discussion can be found in [16], ...
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The degenerate third Painlevé equation, u= (u ) u −u′ τ + τ (−8εu2+2ab)+b2 u , where ε, b∈R, and a∈C, and the associated tau-function are studied via the Isomonodromy Deformation Method. Connection formulae for asymptotics of the general as τ→±0 and ±i0 solution and general regular as τ→±∞ and ±i∞ solution are obtained. 2000 Mathematics Subject Classification. 33E17, 34M40, 34M50, 34M55, 34M60 ...
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ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2011
ISSN: 0532-8721
DOI: 10.1619/fesi.54.451